{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 5b - Advanced Optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "nbsphinx-toctree"
    ]
   },
   "source": [
    "### June 2024"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Building on tutorial 5a, this tutorial demonstrates further optimization functionalities including:\n",
    "\n",
    "- Various operand types (paraxial, real ray-based, aberrations)\n",
    "- Various variable types (radii, thickness, conic)\n",
    "- Global optimization (e.g. dual annealing, differential evolution, SHGO, basin-hopping)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import analysis, optic, optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's define a non-optimized doublet, which we will optimize. Our goal in optimization will be to:\n",
    "\n",
    "- Control distortion via real ray intersection operands\n",
    "- Minimize spherical aberration\n",
    "- Minimize the spot size for each field\n",
    "- Maintain a focal length of 50 mm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = optic.Optic()\n",
    "\n",
    "lens.surface_group.surfaces = []\n",
    "\n",
    "lens.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "lens.add_surface(index=1, radius=50, thickness=5, material=\"N-BK7\")\n",
    "lens.add_surface(index=2, radius=-500, thickness=10)\n",
    "lens.add_surface(index=3, radius=500, thickness=5, material=\"SK16\", is_stop=True)\n",
    "lens.add_surface(index=4, radius=-50, thickness=35)\n",
    "lens.add_surface(index=5)\n",
    "\n",
    "# add aperture\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=8)\n",
    "\n",
    "# add field\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "lens.add_field(y=5.6)\n",
    "lens.add_field(y=8)\n",
    "\n",
    "# add wavelength\n",
    "lens.add_wavelength(value=0.4861327)\n",
    "lens.add_wavelength(value=0.5875618, is_primary=True)\n",
    "lens.add_wavelength(value=0.6562725)\n",
    "\n",
    "lens.update_paraxial()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's define the optimization problem. First, let's add the operands:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "problem = optimization.OptimizationProblem()\n",
    "\n",
    "# add real ray operands - the intersection location is f*tan(theta), where f is the\n",
    "# focal length and theta is the field half angle\n",
    "input_data = {\n",
    "    \"optic\": lens,\n",
    "    \"surface_number\": 5,\n",
    "    \"Hx\": 0,\n",
    "    \"Hy\": 0.7,\n",
    "    \"Px\": 0,\n",
    "    \"Py\": 0,\n",
    "    \"wavelength\": 0.5875618,\n",
    "}\n",
    "problem.add_operand(\n",
    "    operand_type=\"real_y_intercept\",\n",
    "    target=4.903,\n",
    "    weight=1,\n",
    "    input_data=input_data,\n",
    ")\n",
    "\n",
    "input_data = {\n",
    "    \"optic\": lens,\n",
    "    \"surface_number\": 5,\n",
    "    \"Hx\": 0,\n",
    "    \"Hy\": 1,\n",
    "    \"Px\": 0,\n",
    "    \"Py\": 0,\n",
    "    \"wavelength\": 0.5875618,\n",
    "}\n",
    "problem.add_operand(\n",
    "    operand_type=\"real_y_intercept\",\n",
    "    target=7.027,\n",
    "    weight=1,\n",
    "    input_data=input_data,\n",
    ")\n",
    "\n",
    "# add operand to minimize spherical aberration - we will minimize the first\n",
    "# seidel aberration (i.e. #1)\n",
    "input_data = {\"optic\": lens, \"seidel_number\": 1}\n",
    "problem.add_operand(operand_type=\"seidel\", target=0, weight=1, input_data=input_data)\n",
    "\n",
    "# add RMS spot size operand - let's minimize the spot size for each field at the\n",
    "# primary wavelength we choose a 'uniform' distribution, so the number of rays actually\n",
    "# means the rays on one axis. So, we acually trace ≈16^2 rays here.\n",
    "for field in lens.fields.get_field_coords():\n",
    "    input_data = {\n",
    "        \"optic\": lens,\n",
    "        \"surface_number\": 5,\n",
    "        \"Hx\": field[0],\n",
    "        \"Hy\": field[1],\n",
    "        \"num_rays\": 16,\n",
    "        \"wavelength\": 0.5875618,\n",
    "        \"distribution\": \"uniform\",\n",
    "    }\n",
    "    problem.add_operand(\n",
    "        operand_type=\"rms_spot_size\",\n",
    "        target=0,\n",
    "        weight=10,\n",
    "        input_data=input_data,\n",
    "    )\n",
    "\n",
    "# add focal length target\n",
    "problem.add_operand(operand_type=\"f2\", target=50, weight=1, input_data={\"optic\": lens})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we can add the variables. Let's let one of the surfaces' conic constant vary. Lastly, we print the optimization problem information overview."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+----+------------------------+-------------------+\n",
      "|    |   Merit Function Value |   Improvement (%) |\n",
      "|----+------------------------+-------------------|\n",
      "|  0 |                32.7258 |                 0 |\n",
      "+----+------------------------+-------------------+\n",
      "+----+------------------+----------+----------+-------------+-------------+--------------------+\n",
      "|    | Operand Type     |   Target |   Weight |       Value |       Delta |   Contribution (%) |\n",
      "|----+------------------+----------+----------+-------------+-------------+--------------------|\n",
      "|  0 | real y intercept |    4.903 |        1 |  4.23414    | -0.66886    |        1.36704     |\n",
      "|  1 | real y intercept |    7.027 |        1 |  6.08148    | -0.945522   |        2.73183     |\n",
      "|  2 | seidel           |    0     |        1 | -0.00619853 | -0.00619853 |        0.000117405 |\n",
      "|  3 | rms spot size    |    0     |       10 |  0.0601404  |  0.0601404  |        1.10521     |\n",
      "|  4 | rms spot size    |    0     |       10 |  0.0409341  |  0.0409341  |        0.512012    |\n",
      "|  5 | rms spot size    |    0     |       10 |  0.0245433  |  0.0245433  |        0.184067    |\n",
      "|  6 | f2               |   50     |        1 | 44.4507     | -5.54931    |       94.0997      |\n",
      "+----+------------------+----------+----------+-------------+-------------+--------------------+\n",
      "+----+-----------------+-----------+---------+--------------+--------------+\n",
      "|    | Variable Type   |   Surface |   Value |   Min. Bound |   Max. Bound |\n",
      "|----+-----------------+-----------+---------+--------------+--------------|\n",
      "|  0 | thickness       |         2 |      10 |            3 |           30 |\n",
      "|  1 | thickness       |         4 |      35 |            0 |          100 |\n",
      "|  2 | radius          |         1 |      50 |        -1000 |         1000 |\n",
      "|  3 | radius          |         2 |    -500 |        -1000 |         1000 |\n",
      "|  4 | radius          |         3 |     500 |        -1000 |         1000 |\n",
      "|  5 | radius          |         4 |     -50 |        -1000 |         1000 |\n",
      "|  6 | conic           |         1 |       0 |          -10 |           10 |\n",
      "+----+-----------------+-----------+---------+--------------+--------------+\n"
     ]
    }
   ],
   "source": [
    "# thickness between the lenses and distance to image plane\n",
    "problem.add_variable(lens, \"thickness\", surface_number=2, min_val=3, max_val=30)\n",
    "problem.add_variable(lens, \"thickness\", surface_number=4, min_val=0, max_val=100)\n",
    "\n",
    "# radii of all lenses\n",
    "problem.add_variable(lens, \"radius\", surface_number=1, min_val=-1000, max_val=1000)\n",
    "problem.add_variable(lens, \"radius\", surface_number=2, min_val=-1000, max_val=1000)\n",
    "problem.add_variable(lens, \"radius\", surface_number=3, min_val=-1000, max_val=1000)\n",
    "problem.add_variable(lens, \"radius\", surface_number=4, min_val=-1000, max_val=1000)\n",
    "\n",
    "# conic constant of first lens surface\n",
    "problem.add_variable(lens, \"conic\", surface_number=1, min_val=-10, max_val=10)\n",
    "\n",
    "# print optimization problem info\n",
    "problem.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's optimize our system. There are many optimizers available, but we want to demonstrate a global optimization method: Differential Evolution. Optiland utilizes the scipy implementation of this optimization method.\n",
    "\n",
    "This method can take some time. To speed up the calculation, we parallize the calculation and use all available CPU cores. We specify this by supplying -1 to the workers argument."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = optimization.DifferentialEvolution(problem)\n",
    "# optimizer = optimization.SHGO(problem)  # note SHGO requires bounds\n",
    "# optimizer = optimization.BasinHopping(problem)  # note BasinHopping requires no bounds\n",
    "\n",
    "res = optimizer.optimize(maxiter=256, disp=False, workers=-1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see how the lens has changed after optimization:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By viewing the problem info, we can see that there was a greater than 99% improvement in performance, based on the defined operands."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+----+------------------------+-------------------+\n",
      "|    |   Merit Function Value |   Improvement (%) |\n",
      "|----+------------------------+-------------------|\n",
      "|  0 |             0.00696902 |           99.9787 |\n",
      "+----+------------------------+-------------------+\n",
      "+----+------------------+----------+----------+-------------+-------------+--------------------+\n",
      "|    | Operand Type     |   Target |   Weight |       Value |       Delta |   Contribution (%) |\n",
      "|----+------------------+----------+----------+-------------+-------------+--------------------|\n",
      "|  0 | real y intercept |    4.903 |        1 |  4.88759    | -0.0154102  |           3.40755  |\n",
      "|  1 | real y intercept |    7.027 |        1 |  6.99195    | -0.0350506  |          17.6286   |\n",
      "|  2 | seidel           |    0     |        1 | -0.00412425 | -0.00412425 |           0.244072 |\n",
      "|  3 | rms spot size    |    0     |       10 |  0.00238062 |  0.00238062 |           8.13222  |\n",
      "|  4 | rms spot size    |    0     |       10 |  0.0040219  |  0.0040219  |          23.2109   |\n",
      "|  5 | rms spot size    |    0     |       10 |  0.00571175 |  0.00571175 |          46.813    |\n",
      "|  6 | f2               |   50     |        1 | 50.0063     |  0.00626747 |           0.563655 |\n",
      "+----+------------------+----------+----------+-------------+-------------+--------------------+\n",
      "+----+-----------------+-----------+-----------+--------------+--------------+\n",
      "|    | Variable Type   |   Surface |     Value |   Min. Bound |   Max. Bound |\n",
      "|----+-----------------+-----------+-----------+--------------+--------------|\n",
      "|  0 | thickness       |         2 |   30      |            3 |           30 |\n",
      "|  1 | thickness       |         4 |   34.46   |            0 |          100 |\n",
      "|  2 | radius          |         1 |   66.926  |        -1000 |         1000 |\n",
      "|  3 | radius          |         2 | -655.267  |        -1000 |         1000 |\n",
      "|  4 | radius          |         3 |  359.855  |        -1000 |         1000 |\n",
      "|  5 | radius          |         4 |  -41.6873 |        -1000 |         1000 |\n",
      "|  6 | conic           |         1 |  -10      |          -10 |           10 |\n",
      "+----+-----------------+-----------+-----------+--------------+--------------+\n"
     ]
    }
   ],
   "source": [
    "problem.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's perform a few analyses to check the final performance of our lens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spot = analysis.SpotDiagram(lens)\n",
    "spot.view()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "grid = analysis.GridDistortion(lens)\n",
    "grid.view()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Seidel Aberrations:\n",
      "\tS1: -4.124e-03\n",
      "\tS2: 4.749e-03\n",
      "\tS3: -6.648e-03\n",
      "\tS4: -5.012e-03\n",
      "\tS5: 1.305e-02\n"
     ]
    }
   ],
   "source": [
    "print(\"Seidel Aberrations:\")\n",
    "for k, seidel in enumerate(lens.aberrations.seidels()):\n",
    "    print(f\"\\tS{k + 1}: {seidel:.3e}\")"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Conclusions:\n",
    "\n",
    "- We showed several different operands and variables that can be used in optimization.\n",
    "- We demonstrated the use of differential evolution for optimization\n",
    "- While the lens itself improved in performance, there is still room for improvement. Different operands, variables, or sequences of optimization steps would result in different, and possibly better, results."
   ]
  }
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